1631829959761 has 27 divisors (see below), whose sum is σ = 1747958083473. Its totient is φ = 1523106529920.

The previous prime is 1631829959759. The next prime is 1631829959779. The reversal of 1631829959761 is 1679599281361.

It is a happy number.

The square root of 1631829959761 is 1277431.

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 20341890625 + 1611488069136 = 142625^2 + 1269444^2 .

It is not a de Polignac number, because 1631829959761 - 2¹ = 1631829959759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1631829959701) 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, 3539761071 + ... + 3539761531.

Almost surely, 2^{1631829959761} is an apocalyptic number.

1631829959761 is the 1277431-st square number.

1631829959761 is the 638716-th centered octagonal number.

It is an amenable number.

1631829959761 is a deficient number, since it is larger than the sum of its proper divisors (116128123712).

1631829959761 is an frugal number, since it uses more digits than its factorization.

1631829959761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 641 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 67.

The spelling of 1631829959761 in words is "one trillion, six hundred thirty-one billion, eight hundred twenty-nine million, nine hundred fifty-nine thousand, seven hundred sixty-one".