25503770601 has 9 divisors (see below), whose sum is σ = 36839471799. Its totient is φ = 17002194336.

The previous prime is 25503770561. The next prime is 25503770629. The reversal of 25503770601 is 10607730552.

The square root of 25503770601 is 159699.

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

25503770601 is a `hidden beast` number, since 2 + 550 + 37 + 70 + 6 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 799475625 + 24704294976 = 28275^2 + 157176^2 .

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

It is not a de Polignac number, because 25503770601 - 2⁷ = 25503770473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25503070601) 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, 452481 + ... + 505713.

Almost surely, 2^25503770601 is an apocalyptic number.

25503770601 is the 159699-th square number.

25503770601 is the 79850-th centered octagonal number.

It is an amenable number.

25503770601 is a deficient number, since it is larger than the sum of its proper divisors (11335701198).

25503770601 is an frugal number, since it uses more digits than its factorization.

25503770601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106472 (or 53236 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

Multiplying 25503770601 by its sum of digits (36), we get a square (918135741636 = 958194²).

The spelling of 25503770601 in words is "twenty-five billion, five hundred three million, seven hundred seventy thousand, six hundred one".