51353346825 has 216 divisors, whose sum is σ = 105956218368. Its totient is φ = 23728320000.

The previous prime is 51353346749. The next prime is 51353346839. The reversal of 51353346825 is 52864335315.

51353346825 is a `hidden beast` number, since 5 + 135 + 33 + 468 + 25 = 666.

It is not a de Polignac number, because 51353346825 - 2⁷ = 51353346697 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 59921797 + ... + 59922653.

It is an arithmetic number, because the mean of its divisors is an integer number (490538048).

Almost surely, 2^51353346825 is an apocalyptic number.

51353346825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51353346825 is an abundant number, since it is smaller than the sum of its proper divisors (54602871543).

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

51353346825 is a wasteful number, since it uses less digits than its factorization.

51353346825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 978 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 51353346825 in words is "fifty-one billion, three hundred fifty-three million, three hundred forty-six thousand, eight hundred twenty-five".