5257701456 has 160 divisors (see below), whose sum is σ = 15852794880. Its totient is φ = 1470486528.

The previous prime is 5257701439. The next prime is 5257701473. The reversal of 5257701456 is 6541077525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5257701439) and next prime (5257701473).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6680295 + ... + 6681081.

It is an arithmetic number, because the mean of its divisors is an integer number (99079968).

Almost surely, 2^5257701456 is an apocalyptic number.

5257701456 is a gapful number since it is divisible by the number (56) 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 5257701456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926397440).

5257701456 is an abundant number, since it is smaller than the sum of its proper divisors (10595093424).

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

5257701456 is a wasteful number, since it uses less digits than its factorization.

5257701456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 5257701456 is about 72510.0093504338. The cubic root of 5257701456 is about 1738.8627632896.

The spelling of 5257701456 in words is "five billion, two hundred fifty-seven million, seven hundred one thousand, four hundred fifty-six".