6872575801 has 27 divisors (see below), whose sum is σ = 8666419023. Its totient is φ = 5431673520.

The previous prime is 6872575777. The next prime is 6872575807. The reversal of 6872575801 is 1085752786.

The square root of 6872575801 is 82901.

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., 1016653225 + 5855922576 = 31885^2 + 76524^2 .

It is not a de Polignac number, because 6872575801 - 2⁷ = 6872575673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6872575807) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7543536 + ... + 7544446.

Almost surely, 2^6872575801 is an apocalyptic number.

6872575801 is the 82901-st square number.

6872575801 is the 41451-st centered octagonal number.

It is an amenable number.

6872575801 is a deficient number, since it is larger than the sum of its proper divisors (1793843222).

6872575801 is an frugal number, since it uses more digits than its factorization.

6872575801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 49.

The cubic root of 6872575801 is about 1901.2527104449.

Multiplying 6872575801 by its sum of digits (49), we get a square (336756214249 = 580307²).

6872575801 divided by its sum of digits (49) gives a square (140256649 = 11843²).

The spelling of 6872575801 in words is "six billion, eight hundred seventy-two million, five hundred seventy-five thousand, eight hundred one".