1057152386201 has 16 divisors (see below), whose sum is σ = 1081932280704. Its totient is φ = 1032655941504.

The previous prime is 1057152386197. The next prime is 1057152386203. The reversal of 1057152386201 is 1026832517501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1057152386201 - 2² = 1057152386197 is a prime.

It is a super-2 number, since 2×1057152386201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057152386203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34016996 + ... + 34048058.

It is an arithmetic number, because the mean of its divisors is an integer number (67620767544).

Almost surely, 2^{1057152386201} is an apocalyptic number.

It is an amenable number.

1057152386201 is a deficient number, since it is larger than the sum of its proper divisors (24779894503).

1057152386201 is a wasteful number, since it uses less digits than its factorization.

1057152386201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35600.

The product of its (nonzero) digits is 100800, while the sum is 41.

The spelling of 1057152386201 in words is "one trillion, fifty-seven billion, one hundred fifty-two million, three hundred eighty-six thousand, two hundred one".