1505628552 has 128 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 463368960.

The previous prime is 1505628541. The next prime is 1505628569. The reversal of 1505628552 is 2558265051.

It is a self number, because there is not a number n which added to its sum of digits gives 1505628552.

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, 5138518 + ... + 5138810.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 2^1505628552 is an apocalyptic number.

1505628552 is a gapful number since it is divisible by the number (12) 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 1505628552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1505628552 is an abundant number, since it is smaller than the sum of its proper divisors (2558627448).

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

1505628552 is a wasteful number, since it uses less digits than its factorization.

1505628552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The square root of 1505628552 is about 38802.4297177380. The cubic root of 1505628552 is about 1146.1442517660.

The spelling of 1505628552 in words is "one billion, five hundred five million, six hundred twenty-eight thousand, five hundred fifty-two".