93759052401 has 45 divisors (see below), whose sum is σ = 158067849849. Its totient is φ = 53550880488.

The previous prime is 93759052399. The next prime is 93759052403. The reversal of 93759052401 is 10425095739.

It is a happy number.

The square root of 93759052401 is 306201.

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

93759052401 is a `hidden beast` number, since 9 + 3 + 7 + 590 + 52 + 4 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (93759052399) and next prime (93759052403).

It is not a de Polignac number, because 93759052401 - 2¹ = 93759052399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (93759052403) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 45010506 + ... + 45012588.

Almost surely, 2^93759052401 is an apocalyptic number.

93759052401 is the 306201-st square number.

93759052401 is the 153101-st centered octagonal number.

It is an amenable number.

93759052401 is a deficient number, since it is larger than the sum of its proper divisors (64308797448).

93759052401 is an frugal number, since it uses more digits than its factorization.

93759052401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 93759052401 in words is "ninety-three billion, seven hundred fifty-nine million, fifty-two thousand, four hundred one".