45202426725625 has 135 divisors (see below), whose sum is σ = 62024633180433. Its totient is φ = 32917154400000.

The previous prime is 45202426725487. The next prime is 45202426725667. The reversal of 45202426725625 is 52652762420254.

The square root of 45202426725625 is 6723275.

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

It can be written as a sum of positive squares in 22 ways, for example, as 31354769818089 + 13847656907536 = 5599533^2 + 3721244^2 .

It is not a de Polignac number, because 45202426725625 - 2²³ = 45202418337017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 299353819300 + ... + 299353819450.

Almost surely, 2^{45202426725625} is an apocalyptic number.

45202426725625 is the 6723275-th square number.

45202426725625 is the 3361638-th centered octagonal number.

It is an amenable number.

45202426725625 is a deficient number, since it is larger than the sum of its proper divisors (16822206454808).

45202426725625 is an frugal number, since it uses more digits than its factorization.

45202426725625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 52.

The spelling of 45202426725625 in words is "forty-five trillion, two hundred two billion, four hundred twenty-six million, seven hundred twenty-five thousand, six hundred twenty-five".