6503764861504 has 21 divisors (see below), whose sum is σ = 12905948882361. Its totient is φ = 3251872229760.

The previous prime is 6503764861501. The next prime is 6503764861547. The reversal of 6503764861504 is 4051684673056.

It is a happy number.

The square root of 6503764861504 is 2550248.

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., 475757821504 + 6028007040000 = 689752^2 + 2455200^2 .

It is a super-2 number, since 2×6503764861504² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6503764861501) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 20242594 + ... + 20561374.

Almost surely, 2^{6503764861504} is an apocalyptic number.

6503764861504 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6503764861504 is the 2550248-th square number.

It is an amenable number.

6503764861504 is a deficient number, since it is larger than the sum of its proper divisors (6402184020857).

6503764861504 is an frugal number, since it uses more digits than its factorization.

6503764861504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637574 (or 318783 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 6503764861504 in words is "six trillion, five hundred three billion, seven hundred sixty-four million, eight hundred sixty-one thousand, five hundred four".