30642152401 has 27 divisors (see below), whose sum is σ = 37890812187. Its totient is φ = 24702914880.

The previous prime is 30642152393. The next prime is 30642152423. The reversal of 30642152401 is 10425124603.

The square root of 30642152401 is 175049.

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., 23856347025 + 6785805376 = 154455^2 + 82376^2 .

It is not a de Polignac number, because 30642152401 - 2³ = 30642152393 is a prime.

It is a super-2 number, since 2×30642152401² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30642152401.

It is not an unprimeable number, because it can be changed into a prime (30642152441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20830096 + ... + 20831566.

Almost surely, 2^30642152401 is an apocalyptic number.

30642152401 is the 175049-th square number.

30642152401 is the 87525-th centered octagonal number.

It is an amenable number.

30642152401 is a deficient number, since it is larger than the sum of its proper divisors (7248659786).

30642152401 is an frugal number, since it uses more digits than its factorization.

30642152401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 30642152401 in words is "thirty billion, six hundred forty-two million, one hundred fifty-two thousand, four hundred one".