1013009976 has 320 divisors, whose sum is σ = 3337044480. Its totient is φ = 283979520.

The previous prime is 1013009911. The next prime is 1013010017. The reversal of 1013009976 is 6799003101.

It is a super-2 number, since 2×1013009976² = 2052378422951041152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1013009976.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6065845 + ... + 6066011.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 2^1013009976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013009976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668522240).

1013009976 is an abundant number, since it is smaller than the sum of its proper divisors (2324034504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013009976 is a wasteful number, since it uses less digits than its factorization.

1013009976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1013009976 is about 31827.8176443186. The cubic root of 1013009976 is about 1004.3179868202.

The spelling of 1013009976 in words is "one billion, thirteen million, nine thousand, nine hundred seventy-six".