380029096225 has 27 divisors (see below), whose sum is σ = 475186379187. Its totient is φ = 301495770480.

The previous prime is 380029096217. The next prime is 380029096241. The reversal of 380029096225 is 522690920083.

The square root of 380029096225 is 616465.

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., 136810474641 + 243218621584 = 369879^2 + 493172^2 .

It is not a de Polignac number, because 380029096225 - 2³ = 380029096217 is a prime.

It is a super-2 number, since 2×380029096225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 428442732 + ... + 428443618.

Almost surely, 2^380029096225 is an apocalyptic number.

380029096225 is the 616465-th square number.

380029096225 is the 308233-rd centered octagonal number.

It is an amenable number.

380029096225 is a deficient number, since it is larger than the sum of its proper divisors (95157282962).

380029096225 is an frugal number, since it uses more digits than its factorization.

380029096225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 380029096225 in words is "three hundred eighty billion, twenty-nine million, ninety-six thousand, two hundred twenty-five".