612824374561 has 9 divisors (see below), whose sum is σ = 712883708211. Its totient is φ = 525273338352.

The previous prime is 612824374553. The next prime is 612824374567. The reversal of 612824374561 is 165473428216.

The square root of 612824374561 is 782831.

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., 168810048225 + 444014326336 = 410865^2 + 666344^2 .

It is not a de Polignac number, because 612824374561 - 2³ = 612824374553 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 (612824374567) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5423901 + ... + 5535733.

Almost surely, 2^612824374561 is an apocalyptic number.

612824374561 is the 782831-st square number.

612824374561 is the 391416-th centered octagonal number.

It is an amenable number.

612824374561 is a deficient number, since it is larger than the sum of its proper divisors (100059333650).

612824374561 is an frugal number, since it uses more digits than its factorization.

612824374561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223680 (or 111840 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 49.

Multiplying 612824374561 by its sum of digits (49), we get a square (30028394353489 = 5479817²).

612824374561 divided by its sum of digits (49) gives a square (12506619889 = 111833²).

The spelling of 612824374561 in words is "six hundred twelve billion, eight hundred twenty-four million, three hundred seventy-four thousand, five hundred sixty-one".