253121510642 has 288 divisors, whose sum is σ = 553166216064. Its totient is φ = 84320870400.

The previous prime is 253121510623. The next prime is 253121510657. The reversal of 253121510642 is 246015121352.

It is a junction number, because it is equal to n+sod(n) for n = 253121510599 and 253121510608.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 549070292 + ... + 549070752.

It is an arithmetic number, because the mean of its divisors is an integer number (1920716028).

Almost surely, 2^253121510642 is an apocalyptic number.

253121510642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

253121510642 is an abundant number, since it is smaller than the sum of its proper divisors (300044705422).

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

253121510642 is a wasteful number, since it uses less digits than its factorization.

253121510642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 253121510642 its reverse (246015121352), we get a palindrome (499136631994).

The spelling of 253121510642 in words is "two hundred fifty-three billion, one hundred twenty-one million, five hundred ten thousand, six hundred forty-two".