506357749953 has 48 divisors (see below), whose sum is σ = 824839485120. Its totient is φ = 306777841920.

The previous prime is 506357749939. The next prime is 506357749957. The reversal of 506357749953 is 359947753605.

506357749953 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 577 + 4 + 9 + 9 + 53 = 666.

It is not a de Polignac number, because 506357749953 - 2⁵ = 506357749921 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506357749957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10047025 + ... + 10097297.

It is an arithmetic number, because the mean of its divisors is an integer number (17184155940).

Almost surely, 2^506357749953 is an apocalyptic number.

It is an amenable number.

506357749953 is a deficient number, since it is larger than the sum of its proper divisors (318481735167).

506357749953 is a wasteful number, since it uses less digits than its factorization.

506357749953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53387 (or 53370 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 506357749953 in words is "five hundred six billion, three hundred fifty-seven million, seven hundred forty-nine thousand, nine hundred fifty-three".