42125510025 has 45 divisors (see below), whose sum is σ = 78048118533. Its totient is φ = 22462012800.

The previous prime is 42125509981. The next prime is 42125510027. The reversal of 42125510025 is 52001552124.

The square root of 42125510025 is 205245.

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

42125510025 is a `hidden beast` number, since 4 + 2 + 125 + 510 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3927152889 + 38198357136 = 62667^2 + 195444^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 42125510025 - 2⁷ = 42125509897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42125510027) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9233745 + ... + 9238305.

Almost surely, 2^42125510025 is an apocalyptic number.

42125510025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42125510025 is the 205245-th square number.

42125510025 is the 102623-rd centered octagonal number.

It is an amenable number.

42125510025 is a deficient number, since it is larger than the sum of its proper divisors (35922608508).

42125510025 is an frugal number, since it uses more digits than its factorization.

42125510025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9144 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 42125510025 in words is "forty-two billion, one hundred twenty-five million, five hundred ten thousand, twenty-five".