1052653456401 has 32 divisors (see below), whose sum is σ = 1494216622080. Its totient is φ = 656886392064.

The previous prime is 1052653456321. The next prime is 1052653456403. The reversal of 1052653456401 is 1046543562501.

It is not a de Polignac number, because 1052653456401 - 2⁷ = 1052653456273 is a prime.

It is a super-2 number, since 2×1052653456401² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052653456403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11772006 + ... + 11861088.

It is an arithmetic number, because the mean of its divisors is an integer number (46694269440).

Almost surely, 2^{1052653456401} is an apocalyptic number.

It is an amenable number.

1052653456401 is a deficient number, since it is larger than the sum of its proper divisors (441563165679).

1052653456401 is a wasteful number, since it uses less digits than its factorization.

1052653456401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90365.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 1052653456401 in words is "one trillion, fifty-two billion, six hundred fifty-three million, four hundred fifty-six thousand, four hundred one".