61508904093 has 256 divisors, whose sum is σ = 124298496000. Its totient is φ = 29750353920.

The previous prime is 61508904091. The next prime is 61508904109. The reversal of 61508904093 is 39040980516.

It is a happy number.

61508904093 is a `hidden beast` number, since 6 + 150 + 8 + 90 + 409 + 3 = 666.

It is not a de Polignac number, because 61508904093 - 2¹ = 61508904091 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61508904091) 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 255 ways as a sum of consecutive naturals, for example, 83913555 + ... + 83914287.

It is an arithmetic number, because the mean of its divisors is an integer number (485541000).

Almost surely, 2^61508904093 is an apocalyptic number.

61508904093 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

61508904093 is an abundant number, since it is smaller than the sum of its proper divisors (62789591907).

61508904093 is a wasteful number, since it uses less digits than its factorization.

61508904093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 61508904093 in words is "sixty-one billion, five hundred eight million, nine hundred four thousand, ninety-three".