54777062025 has 135 divisors (see below), whose sum is σ = 118191012951. Its totient is φ = 25007240160.

The previous prime is 54777062017. The next prime is 54777062027. The reversal of 54777062025 is 52026077745.

The square root of 54777062025 is 234045.

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

It can be written as a sum of positive squares in only one way, i.e., 19719742329 + 35057319696 = 140427^2 + 187236^2 .

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

It is not a de Polignac number, because 54777062025 - 2³ = 54777062017 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 (54777062027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 73723804 + ... + 73724546.

Almost surely, 2^54777062025 is an apocalyptic number.

54777062025 is the 234045-th square number.

54777062025 is the 117023-rd centered octagonal number.

It is an amenable number.

54777062025 is an abundant number, since it is smaller than the sum of its proper divisors (63413950926).

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

54777062025 is an frugal number, since it uses more digits than its factorization.

54777062025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 54777062025 in words is "fifty-four billion, seven hundred seventy-seven million, sixty-two thousand, twenty-five".