1252974528 has 336 divisors, whose sum is σ = 4235764960. Its totient is φ = 360972288.

The previous prime is 1252974497. The next prime is 1252974539. The reversal of 1252974528 is 8254792521.

1252974528 is a `hidden beast` number, since 1 + 2 + 52 + 9 + 74 + 528 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6492000 + ... + 6492192.

Almost surely, 2^1252974528 is an apocalyptic number.

1252974528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252974528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117882480).

1252974528 is an abundant number, since it is smaller than the sum of its proper divisors (2982790432).

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

1252974528 is a wasteful number, since it uses less digits than its factorization.

1252974528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 228 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 1252974528 is about 35397.3802420462. The cubic root of 1252974528 is about 1078.0711249903.

The spelling of 1252974528 in words is "one billion, two hundred fifty-two million, nine hundred seventy-four thousand, five hundred twenty-eight".