1352967525 has 288 divisors, whose sum is σ = 3314787840. Its totient is φ = 513976320.

The previous prime is 1352967431. The next prime is 1352967529. The reversal of 1352967525 is 5257692531.

1352967525 is a `hidden beast` number, since 1 + 35 + 2 + 96 + 7 + 525 = 666.

It is not a de Polignac number, because 1352967525 - 2⁸ = 1352967269 is a prime.

It is a super-2 number, since 2×1352967525² = 3661042247409251250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352967529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58824664 + ... + 58824686.

It is an arithmetic number, because the mean of its divisors is an integer number (11509680).

Almost surely, 2^1352967525 is an apocalyptic number.

1352967525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1352967525 is an abundant number, since it is smaller than the sum of its proper divisors (1961820315).

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

1352967525 is a wasteful number, since it uses less digits than its factorization.

1352967525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 1352967525 is about 36782.7068742908. The cubic root of 1352967525 is about 1106.0186684727.

The spelling of 1352967525 in words is "one billion, three hundred fifty-two million, nine hundred sixty-seven thousand, five hundred twenty-five".