610628516505 has 96 divisors (see below), whose sum is σ = 1264179032064. Its totient is φ = 266593016448.

The previous prime is 610628516461. The next prime is 610628516543. The reversal of 610628516505 is 505615826016.

610628516505 is a `hidden beast` number, since 6 + 1 + 0 + 62 + 85 + 1 + 6 + 505 = 666.

610628516505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 610628516505 - 2⁶ = 610628516441 is a prime.

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

It is a Curzon number.

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, 4622382 + ... + 4752648.

It is an arithmetic number, because the mean of its divisors is an integer number (13168531584).

Almost surely, 2^610628516505 is an apocalyptic number.

It is an amenable number.

610628516505 is an abundant number, since it is smaller than the sum of its proper divisors (653550515559).

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

610628516505 is a wasteful number, since it uses less digits than its factorization.

610628516505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130955 (or 130952 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 610628516505 in words is "six hundred ten billion, six hundred twenty-eight million, five hundred sixteen thousand, five hundred five".