153377973225 has 81 divisors (see below), whose sum is σ = 285563845047. Its totient is φ = 81716992560.

The previous prime is 153377973181. The next prime is 153377973253. The reversal of 153377973225 is 522379773351.

The square root of 153377973225 is 391635.

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

153377973225 is a `hidden beast` number, since 1 + 533 + 7 + 79 + 7 + 32 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55216070361 + 98161902864 = 234981^2 + 313308^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 153377973225 - 2¹¹ = 153377971177 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 158611692 + ... + 158612658.

Almost surely, 2^153377973225 is an apocalyptic number.

153377973225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

153377973225 is the 391635-th square number.

153377973225 is the 195818-th centered octagonal number.

It is an amenable number.

153377973225 is a deficient number, since it is larger than the sum of its proper divisors (132185871822).

153377973225 is an frugal number, since it uses more digits than its factorization.

153377973225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 975 counting only the distinct ones).

The product of its digits is 8334900, while the sum is 54.

The spelling of 153377973225 in words is "one hundred fifty-three billion, three hundred seventy-seven million, nine hundred seventy-three thousand, two hundred twenty-five".