379757900025 has 81 divisors (see below), whose sum is σ = 791374633101. Its totient is φ = 173574031680.

The previous prime is 379757900003. The next prime is 379757900077. The reversal of 379757900025 is 520009757973.

The square root of 379757900025 is 616245.

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

It can be written as a sum of positive squares in 4 ways, for example, as 125403099129 + 254354800896 = 354123^2 + 504336^2 .

It is not a de Polignac number, because 379757900025 - 2¹³ = 379757891833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64702791 + ... + 64708659.

Almost surely, 2^379757900025 is an apocalyptic number.

379757900025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

379757900025 is the 616245-th square number.

379757900025 is the 308123-rd centered octagonal number.

It is an amenable number.

379757900025 is an abundant number, since it is smaller than the sum of its proper divisors (411616733076).

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

379757900025 is an frugal number, since it uses more digits than its factorization.

379757900025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11768 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 4167450, while the sum is 54.

The spelling of 379757900025 in words is "three hundred seventy-nine billion, seven hundred fifty-seven million, nine hundred thousand, twenty-five".