252657540 has 36 divisors (see below), whose sum is σ = 766395084. Its totient is φ = 67375296.

The previous prime is 252657527. The next prime is 252657577. The reversal of 252657540 is 45756252.

252657540 is a `hidden beast` number, since 2 + 52 + 65 + 7 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29095236 + 223562304 = 5394^2 + 14952^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 252657495 and 252657504.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701647 + ... + 702006.

Almost surely, 2^252657540 is an apocalyptic number.

252657540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252657540 is an abundant number, since it is smaller than the sum of its proper divisors (513737544).

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

252657540 is a wasteful number, since it uses less digits than its factorization.

252657540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403668 (or 1403663 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 252657540 is about 15895.2049373388. The cubic root of 252657540 is about 632.1848555290.

The spelling of 252657540 in words is "two hundred fifty-two million, six hundred fifty-seven thousand, five hundred forty".