6461001625 has 16 divisors (see below), whose sum is σ = 8683588368. Its totient is φ = 4771200000.

The previous prime is 6461001607. The next prime is 6461001637. The reversal of 6461001625 is 5261001646.

It can be written as a sum of positive squares in 8 ways, for example, as 3672844816 + 2788156809 = 60604^2 + 52803^2 .

It is not a de Polignac number, because 6461001625 - 2¹¹ = 6460999577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1986376 + ... + 1989625.

It is an arithmetic number, because the mean of its divisors is an integer number (542724273).

Almost surely, 2^6461001625 is an apocalyptic number.

6461001625 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6461001625 is a deficient number, since it is larger than the sum of its proper divisors (2222586743).

6461001625 is a wasteful number, since it uses less digits than its factorization.

6461001625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3976029 (or 3976019 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 6461001625 is about 80380.3559646261. The cubic root of 6461001625 is about 1862.5157333926.

The spelling of 6461001625 in words is "six billion, four hundred sixty-one million, one thousand, six hundred twenty-five".