1253503125 has 72 divisors (see below), whose sum is σ = 2586834432. Its totient is φ = 572940000.

The previous prime is 1253503123. The next prime is 1253503217. The reversal of 1253503125 is 5213053521.

It is a happy number.

1253503125 is a `hidden beast` number, since 1 + 2 + 535 + 0 + 3 + 125 = 666.

It is not a de Polignac number, because 1253503125 - 2¹ = 1253503123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253503123) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 193692 + ... + 200058.

It is an arithmetic number, because the mean of its divisors is an integer number (35928256).

Almost surely, 2^1253503125 is an apocalyptic number.

1253503125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1253503125 is an abundant number, since it is smaller than the sum of its proper divisors (1333331307).

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

1253503125 is an frugal number, since it uses more digits than its factorization.

1253503125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6382 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1253503125 is about 35404.8460666051. The cubic root of 1253503125 is about 1078.2227069609. Note that the first 3 decimals are identical.

Adding to 1253503125 its reverse (5213053521), we get a palindrome (6466556646).

The spelling of 1253503125 in words is "one billion, two hundred fifty-three million, five hundred three thousand, one hundred twenty-five".