75407906025 has 27 divisors (see below), whose sum is σ = 135071316471. Its totient is φ = 40215353040.

The previous prime is 75407906017. The next prime is 75407906029. The reversal of 75407906025 is 52060970457.

The square root of 75407906025 is 274605.

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., 27146846169 + 48261059856 = 164763^2 + 219684^2 .

It is not a de Polignac number, because 75407906025 - 2³ = 75407906017 is a prime.

It is a super-3 number, since 3×75407906025³ (a number of 34 digits) contains 333 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 (75407906029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4109922 + ... + 4128228.

Almost surely, 2^75407906025 is an apocalyptic number.

75407906025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

75407906025 is the 274605-th square number.

75407906025 is the 137303-rd centered octagonal number.

It is an amenable number.

75407906025 is a deficient number, since it is larger than the sum of its proper divisors (59663410446).

75407906025 is an frugal number, since it uses more digits than its factorization.

75407906025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36630 (or 18315 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 75407906025 in words is "seventy-five billion, four hundred seven million, nine hundred six thousand, twenty-five".