31880459601 has 63 divisors (see below), whose sum is σ = 50906777761. Its totient is φ = 19952002944.

The previous prime is 31880459599. The next prime is 31880459603. The reversal of 31880459601 is 10695408813.

The square root of 31880459601 is 178551.

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

31880459601 is a `hidden beast` number, since 31 + 8 + 8 + 0 + 4 + 5 + 9 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (31880459599) and next prime (31880459603).

It can be written as a sum of positive squares in 4 ways, for example, as 9641025 + 31870818576 = 3105^2 + 178524^2 .

It is not a de Polignac number, because 31880459601 - 2¹ = 31880459599 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31880459603) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 81954715 + ... + 81955103.

Almost surely, 2^31880459601 is an apocalyptic number.

31880459601 is the 178551-st square number.

31880459601 is the 89276-th centered octagonal number.

It is an amenable number.

31880459601 is a deficient number, since it is larger than the sum of its proper divisors (19026318160).

31880459601 is an frugal number, since it uses more digits than its factorization.

31880459601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 31880459601 in words is "thirty-one billion, eight hundred eighty million, four hundred fifty-nine thousand, six hundred one".