1535161248 has 72 divisors (see below), whose sum is σ = 4527327168. Its totient is φ = 511717824.

The previous prime is 1535161241. The next prime is 1535161249. The reversal of 1535161248 is 8421615351.

1535161248 is a `hidden beast` number, since 1 + 5 + 35 + 1 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1535161248³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1535161241) by changing a digit.

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, 90936 + ... + 106487.

It is an arithmetic number, because the mean of its divisors is an integer number (62879544).

Almost surely, 2^1535161248 is an apocalyptic number.

1535161248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1535161248 is an abundant number, since it is smaller than the sum of its proper divisors (2992165920).

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

1535161248 is an equidigital number, since it uses as much as digits as its factorization.

1535161248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197448 (or 197428 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 1535161248 is about 39181.1338273920. The cubic root of 1535161248 is about 1153.5896024322.

Adding to 1535161248 its reverse (8421615351), we get a palindrome (9956776599).

The spelling of 1535161248 in words is "one billion, five hundred thirty-five million, one hundred sixty-one thousand, two hundred forty-eight".