18913757510025 has 405 divisors, whose sum is σ = 40597378447743. Its totient is φ = 8416870963200.

The previous prime is 18913757509979. The next prime is 18913757510069. The reversal of 18913757510025 is 52001575731981.

The square root of 18913757510025 is 4348995.

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

18913757510025 is a `hidden beast` number, since 1 + 8 + 9 + 1 + 37 + 575 + 10 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 18911200387401 + 2557122624 = 4348701^2 + 50568^2 .

It is not a de Polignac number, because 18913757510025 - 2¹⁵ = 18913757477257 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 194987190777 + ... + 194987190873.

Almost surely, 2^{18913757510025} is an apocalyptic number.

18913757510025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

18913757510025 is the 4348995-th square number.

18913757510025 is the 2174498-th centered octagonal number.

It is an amenable number.

18913757510025 is an abundant number, since it is smaller than the sum of its proper divisors (21683620937718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18913757510025 is an frugal number, since it uses more digits than its factorization.

18913757510025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 54.

The spelling of 18913757510025 in words is "eighteen trillion, nine hundred thirteen billion, seven hundred fifty-seven million, five hundred ten thousand, twenty-five".