61513603265286 has 160 divisors (see below), whose sum is σ = 145340939251200. Its totient is φ = 19391849064000.

The previous prime is 61513603265251. The next prime is 61513603265287. The reversal of 61513603265286 is 68256230631516.

61513603265286 is a `hidden beast` number, since 6 + 1 + 5 + 1 + 3 + 603 + 2 + 6 + 5 + 28 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61513603265287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10029933876 + ... + 10029940008.

It is an arithmetic number, because the mean of its divisors is an integer number (908380870320).

Almost surely, 2^{61513603265286} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61513603265286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72670469625600).

61513603265286 is an abundant number, since it is smaller than the sum of its proper divisors (83827335985914).

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

61513603265286 is a wasteful number, since it uses less digits than its factorization.

61513603265286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11256 (or 11247 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 61513603265286 in words is "sixty-one trillion, five hundred thirteen billion, six hundred three million, two hundred sixty-five thousand, two hundred eighty-six".