152528521401 has 9 divisors (see below), whose sum is σ = 220320667749. Its totient is φ = 101684899836.

The previous prime is 152528521367. The next prime is 152528521421. The reversal of 152528521401 is 104125825251.

The square root of 152528521401 is 390549.

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

152528521401 is a `hidden beast` number, since 152 + 5 + 2 + 85 + 21 + 401 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-152528521401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (152528521421) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1106556 + ... + 1236738.

Almost surely, 2^152528521401 is an apocalyptic number.

152528521401 is the 390549-th square number.

152528521401 is the 195275-th centered octagonal number.

It is an amenable number.

152528521401 is a deficient number, since it is larger than the sum of its proper divisors (67792146348).

152528521401 is an frugal number, since it uses more digits than its factorization.

152528521401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260372 (or 130186 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

Multiplying 152528521401 by its sum of digits (36), we get a square (5491026770436 = 2343294²).

The spelling of 152528521401 in words is "one hundred fifty-two billion, five hundred twenty-eight million, five hundred twenty-one thousand, four hundred one".