1057557501 has 48 divisors (see below), whose sum is σ = 2051038080. Its totient is φ = 507116160.

The previous prime is 1057557451. The next prime is 1057557559.

1057557501 is a `hidden beast` number, since 1 + 0 + 57 + 557 + 50 + 1 = 666.

1057557501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1057557501 - 2⁷ = 1057557373 is a prime.

It is a super-2 number, since 2×1057557501² = 2236855735842730002, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057557101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49686 + ... + 67703.

It is an arithmetic number, because the mean of its divisors is an integer number (42729960).

Almost surely, 2^1057557501 is an apocalyptic number.

1057557501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1057557501 is a deficient number, since it is larger than the sum of its proper divisors (993480579).

1057557501 is a wasteful number, since it uses less digits than its factorization.

1057557501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117426 (or 117423 counting only the distinct ones).

The product of its (nonzero) digits is 30625, while the sum is 36.

The square root of 1057557501 is about 32520.1091787835. The cubic root of 1057557501 is about 1018.8290744398.

The spelling of 1057557501 in words is "one billion, fifty-seven million, five hundred fifty-seven thousand, five hundred one".