1057252331520 has 2496 divisors, whose sum is σ = 4945990533120. Its totient is φ = 210213273600.

The previous prime is 1057252331483. The next prime is 1057252331533. The reversal of 1057252331520 is 251332527501.

1057252331520 is a `hidden beast` number, since 1 + 0 + 57 + 2 + 52 + 3 + 31 + 520 = 666.

It is a super-2 number, since 2×1057252331520² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11879239636 + ... + 11879239724.

It is an arithmetic number, because the mean of its divisors is an integer number (1981566720).

Almost surely, 2^{1057252331520} is an apocalyptic number.

1057252331520 is a gapful number since it is divisible by the number (10) 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 1057252331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472995266560).

1057252331520 is an abundant number, since it is smaller than the sum of its proper divisors (3888738201600).

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

1057252331520 is an equidigital number, since it uses as much as digits as its factorization.

1057252331520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The spelling of 1057252331520 in words is "one trillion, fifty-seven billion, two hundred fifty-two million, three hundred thirty-one thousand, five hundred twenty".