1513952 has 72 divisors (see below), whose sum is σ = 3619728. Its totient is φ = 619520.

The previous prime is 1513949. The next prime is 1513957. The reversal of 1513952 is 2593151.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1513957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65813 + ... + 65835.

It is an arithmetic number, because the mean of its divisors is an integer number (50274).

2^1513952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809864).

1513952 is an abundant number, since it is smaller than the sum of its proper divisors (2105776).

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

1513952 is a wasteful number, since it uses less digits than its factorization.

1513952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its digits is 1350, while the sum is 26.

The square root of 1513952 is about 1230.4275679616. The cubic root of 1513952 is about 114.8252418120.

The spelling of 1513952 in words is "one million, five hundred thirteen thousand, nine hundred fifty-two".