45155825001 has 45 divisors (see below), whose sum is σ = 78491329191. Its totient is φ = 25795678608.

The previous prime is 45155824957. The next prime is 45155825009. The reversal of 45155825001 is 10052855154.

The square root of 45155825001 is 212499.

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

45155825001 is a `hidden beast` number, since 4 + 51 + 558 + 2 + 50 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44675163225 + 480661776 = 211365^2 + 21924^2 .

It is not a de Polignac number, because 45155825001 - 2¹¹ = 45155822953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45155825009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13385751 + ... + 13389123.

Almost surely, 2^45155825001 is an apocalyptic number.

45155825001 is the 212499-th square number.

45155825001 is the 106250-th centered octagonal number.

It is an amenable number.

45155825001 is a deficient number, since it is larger than the sum of its proper divisors (33335504190).

45155825001 is an frugal number, since it uses more digits than its factorization.

45155825001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Multiplying 45155825001 by its sum of digits (36), we get a square (1625609700036 = 1274994²).

The spelling of 45155825001 in words is "forty-five billion, one hundred fifty-five million, eight hundred twenty-five thousand, one".