1038312401 has 12 divisors (see below), whose sum is σ = 1214102052. Its totient is φ = 885362688.

The previous prime is 1038312371. The next prime is 1038312439. The reversal of 1038312401 is 1042138301.

It can be written as a sum of positive squares in 2 ways, for example, as 637512001 + 400800400 = 25249^2 + 20020^2 .

It is not a de Polignac number, because 1038312401 - 2¹⁸ = 1038050257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1038312461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45440 + ... + 64353.

It is an arithmetic number, because the mean of its divisors is an integer number (101175171).

Almost surely, 2^1038312401 is an apocalyptic number.

It is an amenable number.

1038312401 is a deficient number, since it is larger than the sum of its proper divisors (175789651).

1038312401 is a wasteful number, since it uses less digits than its factorization.

1038312401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110000 (or 109993 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1038312401 is about 32222.8552583411. The cubic root of 1038312401 is about 1012.6110921340.

The spelling of 1038312401 in words is "one billion, thirty-eight million, three hundred twelve thousand, four hundred one".