1506215312 has 60 divisors (see below), whose sum is σ = 3400676316. Its totient is φ = 644394240.

The previous prime is 1506215303. The next prime is 1506215327. The reversal of 1506215312 is 2135126051.

It can be written as a sum of positive squares in 2 ways, for example, as 1382649856 + 123565456 = 37184^2 + 11116^2 .

It is a super-2 number, since 2×1506215312² = 4537369132206514688, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 573362 + ... + 575982.

Almost surely, 2^1506215312 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 1506215312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700338158).

1506215312 is an abundant number, since it is smaller than the sum of its proper divisors (1894461004).

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

1506215312 is a wasteful number, since it uses less digits than its factorization.

1506215312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1506215312 is about 38809.9898479760. The cubic root of 1506215312 is about 1146.2931207677.

The spelling of 1506215312 in words is "one billion, five hundred six million, two hundred fifteen thousand, three hundred twelve".