537638390401 has 6 divisors (see below), whose sum is σ = 625416086850. Its totient is φ = 460832906016.

The previous prime is 537638390363. The next prime is 537638390411. The reversal of 537638390401 is 104093836735.

It can be written as a sum of positive squares in only one way, i.e., 530544708225 + 7093682176 = 728385^2 + 84224^2 .

It is not a de Polignac number, because 537638390401 - 2⁹ = 537638389889 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49), and also a Moran number because the ratio is a prime number: 10972212049 = 537638390401 / (5 + 3 + 7 + 6 + 3 + 8 + 3 + 9 + 0 + 4 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (537638390411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5486105976 + ... + 5486106073.

It is an arithmetic number, because the mean of its divisors is an integer number (104236014475).

Almost surely, 2^537638390401 is an apocalyptic number.

It is an amenable number.

537638390401 is a deficient number, since it is larger than the sum of its proper divisors (87777696449).

537638390401 is a wasteful number, since it uses less digits than its factorization.

537638390401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972212063 (or 10972212056 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 49.

The spelling of 537638390401 in words is "five hundred thirty-seven billion, six hundred thirty-eight million, three hundred ninety thousand, four hundred one".