153902757120025 has 27 divisors (see below), whose sum is σ = 191475232205661. Its totient is φ = 122713361634240.

The previous prime is 153902757120023. The next prime is 153902757120031. The reversal of 153902757120025 is 520021757209351.

The square root of 153902757120025 is 12405755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 86459703253641 + 67443053866384 = 9298371^2 + 8212372^2 .

It is not a de Polignac number, because 153902757120025 - 2¹ = 153902757120023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153902757120023) 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, 19415002612 + ... + 19415010538.

Almost surely, 2^{153902757120025} is an apocalyptic number.

153902757120025 is the 12405755-th square number.

153902757120025 is the 6202878-th centered octagonal number.

It is an amenable number.

153902757120025 is a deficient number, since it is larger than the sum of its proper divisors (37572475085636).

153902757120025 is an frugal number, since it uses more digits than its factorization.

153902757120025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16490 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 49.

The spelling of 153902757120025 in words is "one hundred fifty-three trillion, nine hundred two billion, seven hundred fifty-seven million, one hundred twenty thousand, twenty-five".