1631405880225 has 81 divisors (see below), whose sum is σ = 3212232181977. Its totient is φ = 790882488000.

The previous prime is 1631405880211. The next prime is 1631405880233. The reversal of 1631405880225 is 5220885041361.

The square root of 1631405880225 is 1277265.

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

1631405880225 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 40 + 588 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 317429701281 + 1313976178944 = 563409^2 + 1146288^2 .

It is not a de Polignac number, because 1631405880225 - 2⁵ = 1631405880193 is a prime.

It is a super-2 number, since 2×1631405880225² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 210744855 + ... + 210752595.

Almost surely, 2^{1631405880225} is an apocalyptic number.

1631405880225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1631405880225 is the 1277265-th square number.

1631405880225 is the 638633-rd centered octagonal number.

It is an amenable number.

1631405880225 is a deficient number, since it is larger than the sum of its proper divisors (1580826301752).

1631405880225 is an frugal number, since it uses more digits than its factorization.

1631405880225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15520 (or 7760 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1631405880225 in words is "one trillion, six hundred thirty-one billion, four hundred five million, eight hundred eighty thousand, two hundred twenty-five".