253003970025 has 27 divisors (see below), whose sum is σ = 453171736069. Its totient is φ = 134931426720.

The previous prime is 253003969993. The next prime is 253003970029. The reversal of 253003970025 is 520079300352.

The square root of 253003970025 is 502995.

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

253003970025 is a `hidden beast` number, since 2 + 530 + 0 + 39 + 70 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7194262761 + 245809707264 = 84819^2 + 495792^2 .

It is not a de Polignac number, because 253003970025 - 2⁵ = 253003969993 is a prime.

It is a super-2 number, since 2×253003970025² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (253003970029) 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, 7528159 + ... + 7561691.

Almost surely, 2^253003970025 is an apocalyptic number.

253003970025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

253003970025 is the 502995-th square number.

253003970025 is the 251498-th centered octagonal number.

It is an amenable number.

253003970025 is a deficient number, since it is larger than the sum of its proper divisors (200167766044).

253003970025 is an frugal number, since it uses more digits than its factorization.

253003970025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67082 (or 33541 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

Multiplying 253003970025 by its sum of digits (36), we get a square (9108142920900 = 3017970²).

The spelling of 253003970025 in words is "two hundred fifty-three billion, three million, nine hundred seventy thousand, twenty-five".