1252526976 has 224 divisors, whose sum is σ = 3870793920. Its totient is φ = 403107840.

The previous prime is 1252526971. The next prime is 1252527013. The reversal of 1252526976 is 6796252521.

1252526976 is a `hidden beast` number, since 1 + 2 + 52 + 526 + 9 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252526971) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2892456 + ... + 2892888.

It is an arithmetic number, because the mean of its divisors is an integer number (17280330).

Almost surely, 2^1252526976 is an apocalyptic number.

1252526976 is a gapful number since it is divisible by the number (16) 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 1252526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935396960).

1252526976 is an abundant number, since it is smaller than the sum of its proper divisors (2618266944).

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

1252526976 is an frugal number, since it uses more digits than its factorization.

1252526976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 1252526976 is about 35391.0578536443. The cubic root of 1252526976 is about 1077.9427503808.

The spelling of 1252526976 in words is "one billion, two hundred fifty-two million, five hundred twenty-six thousand, nine hundred seventy-six".