631435247641 has 81 divisors (see below), whose sum is σ = 748553254813. Its totient is φ = 532210719040.

The previous prime is 631435247587. The next prime is 631435247657. The reversal of 631435247641 is 146742534136.

The square root of 631435247641 is 794629.

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

It can be written as a sum of positive squares in 4 ways, for example, as 39618912025 + 591816335616 = 199045^2 + 769296^2 .

It is not a de Polignac number, because 631435247641 - 2⁹ = 631435247129 is a prime.

It is a Duffinian number.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 631435247591 and 631435247600.

It is not an unprimeable number, because it can be changed into a prime (631435247141) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 11913872571 + ... + 11913872623.

Almost surely, 2^631435247641 is an apocalyptic number.

631435247641 is the 794629-th square number.

631435247641 is the 397315-th centered octagonal number.

It is an amenable number.

631435247641 is a deficient number, since it is larger than the sum of its proper divisors (117118007172).

631435247641 is an equidigital number, since it uses as much as digits as its factorization.

631435247641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 46.

The spelling of 631435247641 in words is "six hundred thirty-one billion, four hundred thirty-five million, two hundred forty-seven thousand, six hundred forty-one".