1631355050052 has 288 divisors, whose sum is σ = 5456128204800. Its totient is φ = 398929764096.

The previous prime is 1631355050041. The next prime is 1631355050077. The reversal of 1631355050052 is 2500505531361.

1631355050052 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 3 + 550 + 50 + 0 + 52 = 666.

It is a super-2 number, since 2×1631355050052² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1631355049989 and 1631355050016.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2646649 + ... + 3204287.

It is an arithmetic number, because the mean of its divisors is an integer number (18944889600).

Almost surely, 2^{1631355050052} is an apocalyptic number.

1631355050052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1631355050052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728064102400).

1631355050052 is an abundant number, since it is smaller than the sum of its proper divisors (3824773154748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1631355050052 is a wasteful number, since it uses less digits than its factorization.

1631355050052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557735 (or 557730 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 1631355050052 in words is "one trillion, six hundred thirty-one billion, three hundred fifty-five million, fifty thousand, fifty-two".