753420528004 has 27 divisors (see below), whose sum is σ = 1349995223493. Its totient is φ = 367913104272.

The previous prime is 753420527983. The next prime is 753420528037. The reversal of 753420528004 is 400825024357.

The square root of 753420528004 is 867998.

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

It can be written as a sum of positive squares in only one way, i.e., 383941336900 + 369479191104 = 619630^2 + 607848^2 .

It is a super-2 number, since 2×753420528004² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74642782 + ... + 74652874.

Almost surely, 2^753420528004 is an apocalyptic number.

753420528004 is the 867998-th square number.

It is an amenable number.

753420528004 is a deficient number, since it is larger than the sum of its proper divisors (596574695489).

753420528004 is an frugal number, since it uses more digits than its factorization.

753420528004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20276 (or 10138 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 40.

It can be divided in two parts, 753420 and 528004, that added together give a square (1281424 = 1132²).

The spelling of 753420528004 in words is "seven hundred fifty-three billion, four hundred twenty million, five hundred twenty-eight thousand, four".