253111531530 has 384 divisors, whose sum is σ = 732071208960. Its totient is φ = 55511239680.

The previous prime is 253111531513. The next prime is 253111531559. The reversal of 253111531530 is 35135111352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 798458932 + ... + 798459248.

It is an arithmetic number, because the mean of its divisors is an integer number (1906435440).

Almost surely, 2^253111531530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253111531530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366035604480).

253111531530 is an abundant number, since it is smaller than the sum of its proper divisors (478959677430).

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

253111531530 is a wasteful number, since it uses less digits than its factorization.

253111531530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 30.

Adding to 253111531530 its reverse (35135111352), we get a palindrome (288246642882).

The spelling of 253111531530 in words is "two hundred fifty-three billion, one hundred eleven million, five hundred thirty-one thousand, five hundred thirty".