153302408956225 has 9 divisors (see below), whose sum is σ = 190095063871267. Its totient is φ = 122641877638840.

The previous prime is 153302408956199. The next prime is 153302408956231. The reversal of 153302408956225 is 522659804203351.

The square root of 153302408956225 is 12381535.

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

It can be written as a sum of positive squares in only one way, i.e., 55188867224241 + 98113541731984 = 7428921^2 + 9905228^2 .

It is not a de Polignac number, because 153302408956225 - 2⁷ = 153302408956097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60669522 + ... + 63145828.

Almost surely, 2^{153302408956225} is an apocalyptic number.

153302408956225 is the 12381535-th square number.

153302408956225 is the 6190768-th centered octagonal number.

It is an amenable number.

153302408956225 is a deficient number, since it is larger than the sum of its proper divisors (36792654915042).

153302408956225 is an frugal number, since it uses more digits than its factorization.

153302408956225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4952624 (or 2476312 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 55.

The spelling of 153302408956225 in words is "one hundred fifty-three trillion, three hundred two billion, four hundred eight million, nine hundred fifty-six thousand, two hundred twenty-five".