51601290 has 128 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 11612160.

The previous prime is 51601289. The next prime is 51601313. The reversal of 51601290 is 9210615.

It is a self number, because there is not a number n which added to its sum of digits gives 51601290.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285000 + ... + 285180.

It is an arithmetic number, because the mean of its divisors is an integer number (1135134).

Almost surely, 2^51601290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51601290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72648576).

51601290 is an abundant number, since it is smaller than the sum of its proper divisors (93695862).

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

51601290 is a wasteful number, since it uses less digits than its factorization.

51601290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 51601290 is about 7183.4037892910. The cubic root of 51601290 is about 372.2946994169.

It can be divided in two parts, 5160 and 1290, that multiplied together give a square (6656400 = 2580²).

The spelling of 51601290 in words is "fifty-one million, six hundred one thousand, two hundred ninety".