Search a number
-
+
1325601504 = 253323411627
BaseRepresentation
bin100111100000011…
…0001001011100000
310102101100112102000
41033000301023200
510203323222004
6335312124000
744564266263
oct11700611340
93371315360
101325601504
116202a4037
1230bb36600
1318182cbb6
14c80a6cda
157b59ac39
hex4f0312e0

1325601504 has 192 divisors, whose sum is σ = 4135380480. Its totient is φ = 412093440.

The previous prime is 1325601457. The next prime is 1325601517. The reversal of 1325601504 is 4051065231.

1325601504 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 601 + 50 + 4 = 666.

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

It is a congruent number.

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, 813939 + ... + 815565.

It is an arithmetic number, because the mean of its divisors is an integer number (21538440).

Almost surely, 21325601504 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 1325601504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067690240).

1325601504 is an abundant number, since it is smaller than the sum of its proper divisors (2809778976).

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

1325601504 is a wasteful number, since it uses less digits than its factorization.

1325601504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1325601504 is about 36408.8108017826. The cubic root of 1325601504 is about 1098.5107958117.

Adding to 1325601504 its reverse (4051065231), we get a palindrome (5376666735).

The spelling of 1325601504 in words is "one billion, three hundred twenty-five million, six hundred one thousand, five hundred four".