511213248 has 224 divisors, whose sum is σ = 1850257920. Its totient is φ = 134784000.

The previous prime is 511213237. The next prime is 511213267. The reversal of 511213248 is 842312115.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×511213248² = 522677969861419008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 155623 + ... + 158873.

It is an arithmetic number, because the mean of its divisors is an integer number (8260080).

Almost surely, 2^511213248 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 511213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925128960).

511213248 is an abundant number, since it is smaller than the sum of its proper divisors (1339044672).

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

511213248 is a wasteful number, since it uses less digits than its factorization.

511213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3292 (or 3276 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 511213248 is about 22610.0253869827. The cubic root of 511213248 is about 799.5900232681.

The spelling of 511213248 in words is "five hundred eleven million, two hundred thirteen thousand, two hundred forty-eight".