1057699118025 has 243 divisors, whose sum is σ = 2184871527111. Its totient is φ = 488717064000.

The previous prime is 1057699117987. The next prime is 1057699118033. The reversal of 1057699118025 is 5208119967501.

It is a happy number.

The square root of 1057699118025 is 1028445.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 380771682489 + 676927435536 = 617067^2 + 822756^2 .

It is not a de Polignac number, because 1057699118025 - 2³¹ = 1055551634377 is a prime.

It is a super-2 number, since 2×1057699118025² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3902948640 + ... + 3902948910.

Almost surely, 2^{1057699118025} is an apocalyptic number.

1057699118025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1057699118025 is the 1028445-th square number.

1057699118025 is the 514223-rd centered octagonal number.

It is an amenable number.

1057699118025 is an abundant number, since it is smaller than the sum of its proper divisors (1127172409086).

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

1057699118025 is a wasteful number, since it uses less digits than its factorization.

1057699118025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 1057699118025 in words is "one trillion, fifty-seven billion, six hundred ninety-nine million, one hundred eighteen thousand, twenty-five".