37077428025 has 135 divisors (see below), whose sum is σ = 75686038813. Its totient is φ = 17930721600.

The previous prime is 37077427999. The next prime is 37077428027. The reversal of 37077428025 is 52082477073.

The square root of 37077428025 is 192555.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6163349049 + 30914078976 = 78507^2 + 175824^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 37077428025 - 2⁷ = 37077427897 is a prime.

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 (37077428027) 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 134 ways as a sum of consecutive naturals, for example, 95314531 + ... + 95314919.

Almost surely, 2^37077428025 is an apocalyptic number.

37077428025 is the 192555-th square number.

37077428025 is the 96278-th centered octagonal number.

It is an amenable number.

37077428025 is an abundant number, since it is smaller than the sum of its proper divisors (38608610788).

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

37077428025 is an equidigital number, since it uses as much as digits as its factorization.

37077428025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 37077428025 in words is "thirty-seven billion, seventy-seven million, four hundred twenty-eight thousand, twenty-five".