45952353225 has 81 divisors (see below), whose sum is σ = 85231323957. Its totient is φ = 23665896000.

The previous prime is 45952353193. The next prime is 45952353229. The reversal of 45952353225 is 52235325954.

The square root of 45952353225 is 214365.

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

45952353225 is a `hidden beast` number, since 4 + 5 + 95 + 2 + 3 + 532 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4697868681 + 41254484544 = 68541^2 + 203112^2 .

It is not a de Polignac number, because 45952353225 - 2⁵ = 45952353193 is a prime.

It is a super-2 number, since 2×45952353225² (a number of 22 digits) contains 22 as substring.

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

Its product of digits (1620000) is a multiple of the sum of its prime divisors (500).

It is not an unprimeable number, because it can be changed into a prime (45952353229) 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 80 ways as a sum of consecutive naturals, for example, 99679495 + ... + 99679955.

Almost surely, 2^45952353225 is an apocalyptic number.

45952353225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45952353225 is the 214365-th square number.

45952353225 is the 107183-rd centered octagonal number.

It is an amenable number.

45952353225 is a deficient number, since it is larger than the sum of its proper divisors (39278970732).

45952353225 is an equidigital number, since it uses as much as digits as its factorization.

45952353225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 500 counting only the distinct ones).

The product of its digits is 1620000, while the sum is 45.

The spelling of 45952353225 in words is "forty-five billion, nine hundred fifty-two million, three hundred fifty-three thousand, two hundred twenty-five".