757249780401 has 45 divisors (see below), whose sum is σ = 1169242605993. Its totient is φ = 488391609240.

The previous prime is 757249780379. The next prime is 757249780409. The reversal of 757249780401 is 104087942757.

The square root of 757249780401 is 870201.

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

757249780401 is a `hidden beast` number, since 7 + 5 + 72 + 4 + 97 + 80 + 401 = 666.

757249780401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 757249780401 - 2⁵ = 757249780369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (757249780409) 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, 242784520 + ... + 242787638.

Almost surely, 2^757249780401 is an apocalyptic number.

757249780401 is the 870201-st square number.

757249780401 is the 435101-st centered octagonal number.

It is an amenable number.

757249780401 is a deficient number, since it is larger than the sum of its proper divisors (411992825592).

757249780401 is an frugal number, since it uses more digits than its factorization.

757249780401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6312 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 757249780401 in words is "seven hundred fifty-seven billion, two hundred forty-nine million, seven hundred eighty thousand, four hundred one".