101052513 has 24 divisors (see below), whose sum is σ = 151999848. Its totient is φ = 64634112.

The previous prime is 101052509. The next prime is 101052517. The reversal of 101052513 is 315250101.

101052513 is a `hidden beast` number, since 101 + 0 + 52 + 513 = 666.

It is an interprime number because it is at equal distance from previous prime (101052509) and next prime (101052517).

It can be written as a sum of positive squares in 4 ways, for example, as 35247969 + 65804544 = 5937^2 + 8112^2 .

It is not a de Polignac number, because 101052513 - 2² = 101052509 is a prime.

It is a super-2 number, since 2×101052513² = 20423220767230338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101052517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22231 + ... + 26387.

It is an arithmetic number, because the mean of its divisors is an integer number (6333327).

Almost surely, 2^101052513 is an apocalyptic number.

It is an amenable number.

101052513 is a deficient number, since it is larger than the sum of its proper divisors (50947335).

101052513 is a wasteful number, since it uses less digits than its factorization.

101052513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4270 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101052513 is about 10052.4879010124. The cubic root of 101052513 is about 465.7816475358.

The spelling of 101052513 in words is "one hundred one million, fifty-two thousand, five hundred thirteen".