61435520131 has 16 divisors (see below), whose sum is σ = 63786496000. Its totient is φ = 59123766240.

The previous prime is 61435520117. The next prime is 61435520143. The reversal of 61435520131 is 13102553416.

It is a cyclic number.

It is not a de Polignac number, because 61435520131 - 2¹¹ = 61435518083 is a prime.

It is a super-2 number, since 2×61435520131² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61435520093 and 61435520102.

It is not an unprimeable number, because it can be changed into a prime (61435520171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1535620 + ... + 1575118.

It is an arithmetic number, because the mean of its divisors is an integer number (3986656000).

Almost surely, 2^61435520131 is an apocalyptic number.

61435520131 is a deficient number, since it is larger than the sum of its proper divisors (2350975869).

61435520131 is a wasteful number, since it uses less digits than its factorization.

61435520131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39994.

The product of its (nonzero) digits is 10800, while the sum is 31.

The spelling of 61435520131 in words is "sixty-one billion, four hundred thirty-five million, five hundred twenty thousand, one hundred thirty-one".