152404956825 has 96 divisors (see below), whose sum is σ = 278809869312. Its totient is φ = 72844320000.

The previous prime is 152404956793. The next prime is 152404956853. The reversal of 152404956825 is 528659404251.

It is not a de Polignac number, because 152404956825 - 2⁵ = 152404956793 is a prime.

It is a super-2 number, since 2×152404956825² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19285375 + ... + 19293275.

It is an arithmetic number, because the mean of its divisors is an integer number (2904269472).

Almost surely, 2^152404956825 is an apocalyptic number.

152404956825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152404956825 is a deficient number, since it is larger than the sum of its proper divisors (126404912487).

152404956825 is a wasteful number, since it uses less digits than its factorization.

152404956825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8255 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 152404956825 in words is "one hundred fifty-two billion, four hundred four million, nine hundred fifty-six thousand, eight hundred twenty-five".