152791083225 has 243 divisors, whose sum is σ = 317535966111. Its totient is φ = 70171675200.

The previous prime is 152791083223. The next prime is 152791083239. The reversal of 152791083225 is 522380197251.

The square root of 152791083225 is 390885.

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

152791083225 is a `hidden beast` number, since 1 + 527 + 91 + 0 + 8 + 32 + 2 + 5 = 666.

152791083225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 55004789961 + 97786293264 = 234531^2 + 312708^2 .

It is not a de Polignac number, because 152791083225 - 2¹ = 152791083223 is a prime.

It is a super-2 number, since 2×152791083225² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (152791083223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1483408524 + ... + 1483408626.

Almost surely, 2^152791083225 is an apocalyptic number.

152791083225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152791083225 is the 390885-th square number.

152791083225 is the 195443-rd centered octagonal number.

It is an amenable number.

152791083225 is an abundant number, since it is smaller than the sum of its proper divisors (164744882886).

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

152791083225 is a wasteful number, since it uses less digits than its factorization.

152791083225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 152791083225 in words is "one hundred fifty-two billion, seven hundred ninety-one million, eighty-three thousand, two hundred twenty-five".