642369025 has 27 divisors (see below), whose sum is σ = 824666619. Its totient is φ = 496356480.

The previous prime is 642369019. The next prime is 642369031. The reversal of 642369025 is 520963246.

The square root of 642369025 is 25345.

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

It is an interprime number because it is at equal distance from previous prime (642369019) and next prime (642369031).

It can be written as a sum of positive squares in 13 ways, for example, as 90307009 + 552062016 = 9503^2 + 23496^2 .

It is not a de Polignac number, because 642369025 - 2⁷ = 642368897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4688757 + ... + 4688893.

Almost surely, 2^642369025 is an apocalyptic number.

642369025 is the 25345-th square number.

642369025 is the 12673-rd centered octagonal number.

It is an amenable number.

642369025 is a deficient number, since it is larger than the sum of its proper divisors (182297594).

642369025 is an equidigital number, since it uses as much as digits as its factorization.

642369025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The cubic root of 642369025 is about 862.8358812239.

The spelling of 642369025 in words is "six hundred forty-two million, three hundred sixty-nine thousand, twenty-five".