31253040000 has 1600 divisors, whose sum is σ = 145743222240. Its totient is φ = 6469632000.

The previous prime is 31253039999. The next prime is 31253040001. The reversal of 31253040000 is 4035213.

It is an interprime number because it is at equal distance from previous prime (31253039999) and next prime (31253040001).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31253040001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 589679974 + ... + 589680026.

Almost surely, 2^31253040000 is an apocalyptic number.

31253040000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31253040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72871611120).

31253040000 is an abundant number, since it is smaller than the sum of its proper divisors (114490182240).

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

31253040000 is an equidigital number, since it uses as much as digits as its factorization.

31253040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 31253040000 its reverse (4035213), we get a palindrome (31257075213).

The spelling of 31253040000 in words is "thirty-one billion, two hundred fifty-three million, forty thousand".