1401577553313 has 72 divisors (see below), whose sum is σ = 2374154663400. Its totient is φ = 794424347136.

The previous prime is 1401577553297. The next prime is 1401577553323. The reversal of 1401577553313 is 3133557751041.

It is a happy number.

1401577553313 is a `hidden beast` number, since 1 + 4 + 0 + 15 + 77 + 553 + 3 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 647472887649 + 754104665664 = 804657^2 + 868392^2 .

It is not a de Polignac number, because 1401577553313 - 2⁴ = 1401577553297 is a prime.

It is a super-3 number, since 3×1401577553313³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1401577553323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27140245 + ... + 27191837.

It is an arithmetic number, because the mean of its divisors is an integer number (32974370325).

Almost surely, 2^{1401577553313} is an apocalyptic number.

It is an amenable number.

1401577553313 is a deficient number, since it is larger than the sum of its proper divisors (972577110087).

1401577553313 is a wasteful number, since it uses less digits than its factorization.

1401577553313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52111 (or 52101 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 1401577553313 in words is "one trillion, four hundred one billion, five hundred seventy-seven million, five hundred fifty-three thousand, three hundred thirteen".